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The classical Kramer sampling theorem is, in the subject ofself-adjoint boundary value problems, one of the richest sourcesto obtain sampling expansions. It has become very fruitful inconnection with discrete Sturm-Liouville problems. In this paper adiscrete version of the analytic Kramer sampling theorem isproved. Orthogonal polynomials arising from indeterminateHamburger moment problems as well as polynomials of the secondkind associated with them provide examples of Kramer analytickernels

On the analytic form of the discrete Kramer sampling theorem